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A new note on power increasing sequences

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In the present paper, a general theorem dealing with' j C; jk summability factors has been provedunder weaker conditions . Some known results have also been obtained.

Abstract

In the present paper, a general theorem dealing with' j C; jk summability factors has been provedunder weaker conditions . Some known results have also been obtained.

참고문헌 (8)

  1. S. Aljancic, "O-regularly varying functions", Publ. Inst. Math, 22, pp.5~22 (1977)
  2. M. Balc³, "Absolute '-summability factors", Comm. Fac. Sci. Univ. Ankara Ser. A1, 29, pp.63~80 (1980)
  3. H. Bor, "Absolute summability factors", Atti Sem. Mat. Fis. Univ. Modena, 39, pp.419~422 (1991)
  4. H. Bor, "A study on almost increasing sequences", JIPAM J. Inequal Pure Appl. Math, 4, pp.5~ (2003)
  5. H. Bor, "A study on weighted mean summability", Rend. Circ.Mat, 56(2), pp.198~206 (2007)
  6. L.S. Bosanquet, "A mean value theorem", J. London Math. Soc, 16, pp.146~148 (1941)
  7. L. Leindler, "A new application of quasi power increasing sequences", Publ. Math. Debrecen, 58, pp.791~796 (2001)
  8. T. Pati, "The summability factors of in¯nite series", Duke Math. J, 21, pp.271~284 (1954)

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